Circular Motion of a roller coaster

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Homework Help Overview

The problem involves the circular motion of a roller coaster, specifically analyzing the forces acting on passengers as they experience an increased apparent weight while going through a dip with a specified radius of curvature.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the roller coaster car, including weight and normal force, and the relationship between these forces and circular motion. Questions about how to start solving the problem and the relevant equations are raised.

Discussion Status

Some participants have provided guidance on drawing free-body diagrams and examining the forces involved. There is an ongoing exploration of the relationships between force, velocity, and radius in circular motion, with multiple interpretations being discussed.

Contextual Notes

The original poster expresses uncertainty about how to begin the problem, indicating a potential gap in understanding the fundamental concepts of circular motion and forces.

aligass2004
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Homework Statement



The passengers in a roller coaster car feels 55% heavier than their true weight as the car goes through a dip with a 24m radius of curvature. What is the car's speed at the bottom of the dip?

Homework Equations





The Attempt at a Solution



I have no clue as to how to start this problem.
 
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Start by drawing a free-body diagram and examining the forces acting on the car. What do you know about the net force of an object traveling in a circle?
 
The forces acting on the car are weight and the normal force. Also, the velocity is perpendicular to the force pushing inward, which is why the object remains circular.
 
aligass2004 said:
The forces acting on the car are weight and the normal force. Also, the velocity is perpendicular to the force pushing inward, which is why the object remains circular.
Correct! So, do you know a relationship between force, velocity and radius for an object traveling in a circular path?
 
I have no idea.
 
use the equation hmg=mg + mv^2/r. for example my percentage was 35% and my radius was 30m. so .35(9.8)= v^2/30 and solve for v
 

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